%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT032+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:11:24 AM UTC 2026
% Result : Theorem 0.09s 0.36s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT032+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 12:22:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % launching worker at depth: 1
% 0.09/0.36 % launching worker at depth: 6
% 0.09/0.36 % launching worker at depth: 3
% 0.09/0.36 % launching worker at depth: 4
% 0.09/0.36 % launching worker at depth: 5
% 0.09/0.36 % launching worker at depth: 2
% 0.09/0.36 % launching worker at depth: 7
% 0.09/0.36 % launching worker at depth: 8
% 0.09/0.36 % SZS status Theorem for theBenchmark
% 0.09/0.36 % SZS output start CNFRefutation
% 0.09/0.36 % launching worker at depth: fof(prove_t1, plain, ![E]:((environment(E)&stable(E))=>?[To]:(in_environment(E,To)&![T]:((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))=>selection_favors(efficient_producers,first_movers,T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_t1)).
% 0.09/0.36 9
% 0.09/0.36 fof(prove_t1_negated, plain, ~(![E]:((environment(E)&stable(E))=>?[To]:(in_environment(E,To)&![T]:((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))=>selection_favors(efficient_producers,first_movers,T))))), inference(negate_conjecture, [status(cth)], [prove_t1])).
% 0.09/0.36 cnf(3, plain, environment(sK2), inference(cnf, [status(esa)], [prove_t1_negated])).
% 0.09/0.36 cnf(l0, plain, environment(sK2), inference(instantiation, [status(thm)], [3])).
% 0.09/0.36 fof(l1, plain, ![E]:((environment(E)&stable(E))=>?[To]:(in_environment(E,To)&![T]:((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))=>greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l1)).
% 0.09/0.36 cnf(1, plain, ~stable(X0) | ~environment(X0) | in_environment(X0,sK1(X0)), inference(cnf, [status(esa)], [l1])).
% 0.09/0.36 cnf(l1, plain, ~stable(sK2) | ~environment(sK2) | in_environment(sK2,sK1(sK2)), inference(instantiation, [status(thm)], [1])).
% 0.09/0.36 cnf(4, plain, stable(sK2), inference(cnf, [status(esa)], [prove_t1_negated])).
% 0.09/0.36 cnf(l2, plain, stable(sK2), inference(instantiation, [status(thm)], [4])).
% 0.09/0.36 cnf(7, plain, ~in_environment(sK2,X0) | ~selection_favors(efficient_producers,first_movers,sK3(X0)), inference(cnf, [status(esa)], [prove_t1_negated])).
% 0.09/0.36 cnf(l3, plain, ~in_environment(sK2,sK1(sK2)) | ~selection_favors(efficient_producers,first_movers,sK3(sK1(sK2))), inference(instantiation, [status(thm)], [7])).
% 0.09/0.36 fof(mp1_high_growth_rates, plain, ![E,S1,S2,T]:((environment(E)&subpopulations(S1,S2,E,T)&greater(growth_rate(S2,T),growth_rate(S1,T)))=>selection_favors(S2,S1,T)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp1_high_growth_rates)).
% 0.09/0.36 cnf(0, plain, ~environment(X0) | ~subpopulations(X1,X2,X0,X3) | ~greater(growth_rate(X2,X3),growth_rate(X1,X3)) | selection_favors(X2,X1,X3), inference(cnf, [status(esa)], [mp1_high_growth_rates])).
% 0.09/0.36 cnf(l4, plain, ~environment(sK2) | ~subpopulations(first_movers,efficient_producers,sK2,sK3(sK1(sK2))) | ~greater(growth_rate(efficient_producers,sK3(sK1(sK2))),growth_rate(first_movers,sK3(sK1(sK2)))) | selection_favors(efficient_producers,first_movers,sK3(sK1(sK2))), inference(instantiation, [status(thm)], [0])).
% 0.09/0.36 cnf(2, plain, ~stable(X0) | ~greater_or_equal(X1,sK1(X0)) | ~environment(X0) | ~subpopulations(first_movers,efficient_producers,X0,X1) | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)), inference(cnf, [status(esa)], [l1])).
% 0.09/0.36 cnf(l5, plain, ~stable(sK2) | ~greater_or_equal(sK3(sK1(sK2)),sK1(sK2)) | ~environment(sK2) | ~subpopulations(first_movers,efficient_producers,sK2,sK3(sK1(sK2))) | greater(growth_rate(efficient_producers,sK3(sK1(sK2))),growth_rate(first_movers,sK3(sK1(sK2)))), inference(instantiation, [status(thm)], [2])).
% 0.09/0.36 cnf(l6, plain, stable(sK2), inference(instantiation, [status(thm)], [4])).
% 0.09/0.36 cnf(5, plain, ~in_environment(sK2,X0) | subpopulations(first_movers,efficient_producers,sK2,sK3(X0)), inference(cnf, [status(esa)], [prove_t1_negated])).
% 0.09/0.36 cnf(l7, plain, ~in_environment(sK2,sK1(sK2)) | subpopulations(first_movers,efficient_producers,sK2,sK3(sK1(sK2))), inference(instantiation, [status(thm)], [5])).
% 0.09/0.36 cnf(6, plain, ~in_environment(sK2,X0) | greater_or_equal(sK3(X0),X0), inference(cnf, [status(esa)], [prove_t1_negated])).
% 0.09/0.36 cnf(l8, plain, ~in_environment(sK2,sK1(sK2)) | greater_or_equal(sK3(sK1(sK2)),sK1(sK2)), inference(instantiation, [status(thm)], [6])).
% 0.09/0.36 cnf(l9, plain, ~in_environment(sK2,sK1(sK2)) | subpopulations(first_movers,efficient_producers,sK2,sK3(sK1(sK2))), inference(instantiation, [status(thm)], [5])).
% 0.09/0.36 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l1, l2, l3, l4, l5, l6, l7, l8, l9])).
% 0.09/0.36 % SZS output end CNFRefutation
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